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vladimir2022 [97]
1 year ago
12

Factor 10e2 completely.

Mathematics
1 answer:
Reil [10]1 year ago
3 0

Answer:

(2•5e2)

Step-by-step explanation:

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The points (3,9) and (-3,-9) lie in which quadrants?
kumpel [21]

Answer:

Quadrant I and III

Step-by-step explanation:

The coordinate (3,9) is all positive, therefore it lies in quadrant I.

The coordinate (-3,-9) is all negative, therefore it lies in quadrant III.

3 0
2 years ago
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(b) we often read that iq scores for large populations are centered at 100. what percent of these 78 students have scores above
zheka24 [161]
Given that the<span> iq scores for large populations are centered at 100.

To get what percent of these 78 students have scores above 100 we conduct a normal distribution probability of the data.

P(x > 100) = P(z > (100 - 100)/sd) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 0.5 = 50%
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5 0
2 years ago
Which of the following conditions is/are necessary to justify the use of t procedures in a significance test for the slope of a
Oksana_A [137]

Answer: l and ll only

Step-by-step explanation:

Those are necessary.

3 0
1 year ago
Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There are 3 inches of sand in the bottom of t
VMariaS [17]
The correct question is
<span>Zach keeps his pet chameleon Pinky in a terrarium with the dimensions 8 x 20. There are three inches of sand in the bottom of the terrarium. Zach gets a new terrarium that is larger. The base of the new terrarium is 10 x 24 inches. Zach moved the existing sand to the new terrarium. How deep will the sand be in the new terrarium?
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Step 1
find the volume of sand
volume of sand=8*20*3------------>Volume of sand=480 in³

Volume of sand in the new terrarium=10*24*h
where h------------> is the deep in the new terrarium
remember that the volume of sand is the same
so
10*24*h=480----------> h=480/(10*24)-----------> h=2 in

the answer is 2 in
6 0
1 year ago
Read 2 more answers
Which statements are true regarding triangle LMN? Check all that apply.
dimaraw [331]

Answer:

NM = x

LM = x\sqrt{2}

tan (45) = 1

Step-by-step explanation:

Step 1: Pythagoras Theorem

Pythagoras theorem relates the three sides of the triangle in such a way that the sum of the square of base and perpendicular is equal to hypotenuse, such as:

                                        LM^{2} =LN^{2} +NM^{2}

Step 2: Trigonometric Functions

Only for a right angle triangle following three trigonometric relations are valid

                                        sin (\theta) = \frac{opposite}{hypotenuse}

                                        cos (\theta) = \frac{adjacent}{hypotenuse}

                                    tan (\theta)=\frac{sin (\theta)}{cos (\theta)} = \frac{opposite}{adjacent}

Step 3: Verifying all the possible answers

A: Since, LN = x and using tan (45) =1

we can calculate

                                              tan (\theta)= \frac{opposite}{adjacent}

                                           tan (45)= \frac{NM}{x} =1

therefore, NM = x (true)

B: As NM = x therefore it can not be equal to x\sqrt{2\\}.

C: Using Pythagoras Theorem

                                        LM^{2} =LN^{2} +NM^{2}

                                           LM^{2} =x^{2} +x^{2}

                                              LM^{2} =2x^{2}

                                         LM = \sqrt{2x^{2}} = x\sqrt{2}

It can also be proved using trigonometric relation

                                           cos (45) = \frac{x}{LM}

                                            LM = \frac{x}{cos (45)}

As, \frac{1}{cos (45)}= \sqrt{2}

Therefore

                                            LM = x\sqrt{2}

D and E:

Using same approach similar to part A

Since, LN = x and NM = x

we can calculate

                                              tan (\theta)= \frac{opposite}{adjacent}

                                           tan (45)= \frac{x}{x} =1

Therefore, tan (45) = 1  and not equal to \frac{\sqrt{2} }{2}

3 0
2 years ago
Read 2 more answers
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